Uniform far-field asymptotics of the two-layered Green function in two dimensions and application to wave scattering in a two-layered medium

Asymptotic behavior of solutions to PDEs (35B40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Green's functions for elliptic equations (35J08)

Cites Work

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A new hybrid integral representation for frequency domain scattering in layered media
A heterogeneous FMM for layered media Helmholtz equation. I: Two layers in \(\mathbb{R}^2\)
Coupling of finite element and boundary integral methods for electromagnetic scattering in a two-layered medium
Efficient evaluation of Sommerfeld integrals for TM wave scattering by buried objects
Windowed Green Function Method for Layered-Media Scattering
A uniformly valid far field asymptotic expansion of the Green function for two-dimensional propagation above a homogeneous impedance plane
Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media
Recovering multiscale buried anomalies in a two-layered medium
On the imaging of thin dielectric inclusions buried within a half-space
Existence, uniqueness and analyticity properties for electromagnetic scattering in a two-layered medium
Electromagnetic scattering by an inhomogeneous conducting or dielectric layer on a perfectly conducting plate
Time-Harmonic Acoustic Scattering from Locally Perturbed Half-Planes
Inverse problems for a perturbed dissipative half-space
Locating the support of objects contained in a two-layered background medium in two dimensions
Simultaneous recovery of a locally rough interface and the embedded obstacle with its surrounding medium
Exponential Convergence for Multipole and Local Expansions and Their Translations for Sources in Layered Media: Two-Dimensional Acoustic Wave
Inverse Acoustic and Electromagnetic Scattering Theory
Uniform asymptotic expansions of integrals with stationary point near algebraic singularity
Why Steepest Descents?
A MUSIC Algorithm for Locating Small Inclusions Buried in a Half-Space from the Scattering Amplitude at a Fixed Frequency
Imaging of buried obstacles in a two-layered medium with phaseless far-field data
Fast calculations of dyadic Green's functions for electromagnetic scattering in a multilayered medium.
Direct imaging methods for reconstructing a locally rough interface from phaseless total-field data or phased far-field data

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